An analytic characterization of the eigenvalues of self-adjoint extensions

dc.contributor.authorBehrndt, Jussi
dc.contributor.authorLuger, Annemarie
dc.date.accessioned2021-12-17T10:06:18Z
dc.date.available2021-12-17T10:06:18Z
dc.date.issued2005-12-28
dc.description.abstractLet à be a self-adjoint extension in K of a fixed symmetric operator A in K ⊆ K. Ananalytic characterization of the eigenvalues of à is given in terms of the Q-function and the parameter function in the Krein-Naimark formula. Here K and K are Krein spaces and it is assumed that à locally has the same spectral properties as a self-adjoint operator in a Pontryagin space.The general results are applied to a class of boundary value problems with λ-dependent boundary conditions.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15550
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14323
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherKreinspaceen
dc.subject.otherself-adjoint extensionen
dc.subject.otherKrein-Naimark formulaen
dc.subject.other(locally) definitizable operatoren
dc.subject.other(local) generalized Nevanlinna functionen
dc.subject.othergeneralized pole and zeroen
dc.subject.otherboundary value problemen
dc.titleAn analytic characterization of the eigenvalues of self-adjoint extensionsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2005, 34en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200047B50 Operators on spaces with an indefinite metricen
tub.subject.msc200047B25 Symmetric and selfadjoint operatorsen

Files

Original bundle
Now showing 1 - 1 of 1
Loading…
Thumbnail Image
Name:
BehrndtLugerAMS.pdf
Size:
265.99 KB
Format:
Adobe Portable Document Format

Collections